Maurice Tutor

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Category > Computer Science Posted 17 Sep 2017 My Price 5.00

algorithm for linear programming

Linear-inequality feasibility

Given a set of m linear inequalities on n variables x1, x2, ..., xn, the linear-inequality feasibility problem asks if there is a setting of the variables that simultaneously satisfies each of the inequalities.

a. Show that if we have an algorithm for linear programming, we can use it to solve the linear-inequality feasibility problem. The number of variables and constraints that you use in the linear-programming problem should be polynomial in n and m.

b. Show that if we have an algorithm for the linear-inequality feasibility problem, we can use it to solve a linear-programming problem. The number of variables and linear inequalities that you use in the linear-inequality feasibility problem should be polynomial in n and m, the number of variables and constraints in the linear program.

 

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Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 09:09 AM My Price 5.00

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